Answer
See graph and explanations.

Work Step by Step
1. Given $y=-csc(2x)=-\frac{1}{sin(2x)}$, we have $p=\frac{2\pi}{2}=\pi$
2. Graph $y=-sin(2x)$ (blue), then use the reciprocal property to get $y=-csc(2x)$ (red).
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